Notes, abstracts, papers, exams and problems of Mathematics

CHAPTER 1,2,3,4,7

1. Compute the a) CM Ratio, b) BEP in number of computers, c) the BEP in $ sales=

E-Business and Its Impact

The Changing Landscape of Business

The rise of the internet has dramatically transformed the business landscape, giving rise to the concept of e-business. E-business encompasses a wide range of activities, including B2B (business-to-business) and B2C (business-to-consumer) transactions, supply chain management, and customer relationship management.

Key Characteristics of E-Business

• Integration: E-business systems integrate various business functions and channels, such as brick-and-mortar stores, online platforms, and mobile apps.
• Flexibility: E-business frameworks are designed to be flexible, open, and adaptable to changing market conditions.
• Ubiquity: E-business infrastructure enables ubiquitous commerce, allowing businesses

Qualitative and Quantitative Variables

Qualitative: variables that are not numerical. They represent categories or groups that the data can fall into. Nominal: the categories do not have a natural order or ranking. The key characteristic of nominal variables is that the different categories are mutually exclusive and there is no inherent order to the categories. Ordinal: the categories have a logical or natural order. However, the distances between the categories are not necessarily meaningful.

Quantitative: variables that represent quantities and can be measured numerically. Discrete: a type of quantitative variable that can take on a countable number of distinct values. These are typically values that you can list or count. They often represent... Continue reading "Understanding Data Types and Sampling Methods" »

The purse is one of our most popular products for women. Its made of leather and comes in a variety of colours: black, green , red. It has got three separate sections—one holds banknotes, another holds credit cards and the third which has got a zip, holds coins. IT’S A large purse, but it fits easily into a normal-sized handbag….The purse comes with a three-year guarantee..

The purse is one of our most popular products for women. Its made of leather and comes in a variety of colours: black, green , red. It has got three separate sections—one holds banknotes, another holds credit cards and the third which has got a zip, holds coins. IT’S A large purse, but it fits easily into a normal-sized handbag….The purse comes with a three-year... Continue reading "holea" »

Practicing material for Quiz #5 – Discrete Probability Distribution SOLUTIONS

1. The manager of a baseball team has determined that the number of walks, x, issued in a game by one of the pitchers is described by the probability distribution given below.

1. This pitcher issues as few as 0 walks and as many as 5 walks in a game.

1. Determine the following probabilities

i. P(x = 2) = 0.15

ii. P(x > 4) = 1 – 0.10 = 0.90

iii. P(x > 5) = 0

iv. P(2 < x < 4) = 0.15+0.45+0.15 = 0.75

1. Calculate the mean for this discrete probability distribution, µ = 2.85 walks

µ = Sxp(x) = 0(0.05) + 1(0.10) + 2(0.15) + 3(0.45) + 4(0.15) + 5(0.10) = 2.85

1. The average, over time, of walks issued in a game by one of the pitchers is 2.

Nanotechnology

is the study, design and creation of materials and devices by means of a control of matter on a nanometric scale.

Nanotechnology in Computing

The manufacture of nanochips, capable of storing a huge number of transistors, will enable the design of devices which are much smaller and more powerful.

Nanomedicine

There exists the possibility of building tiny devices, which in sufficient amounts will be able to circulate around the human body detecting, at an early stage, diseases such as cancer.

Nanoindustry

Machines can be designed that make use of waste to generate themselves or generate devices which make use of energy in a more efficient way.

Location, Production and Using Up of Materials

Globalization is the process by which the world... Continue reading "Nanotechnology and Globalization: Impacts and Opportunities" »

Vocabulary

Management

Record

Include all of these

Boston Co

$1,063,550

Krameer Co

$9,500 overapplied

October

290,000

340,000

330,000

Nader Inc

35.60

170,880

Manufacturing

Direct Materials + Direct Labor + Overhead

(cost of materials) into the Materials Inventory account.

(direct labor) into the Work in Process Inventory account

$18,400 underapplied

Costs or cost or costing system

direct costs.

an approach to cost assignment

indirect labor

Standard costing

direct materials, direct labor,and overhead

direct labor and overhead.

Indirect materials and indirect labor

$17.00

advertising costs

job order cost card

4,620 for direct..

cost of goods sold

both types of costs..

Sales commissions

Process Costing system/ costing system

7,380

Work in Process Inventory

utilize several processes..

completed... Continue reading "Informatio obtained in a job inventory approach( human resource management)" »

Axiom

Statement that is considered to be self evident and assumed to be true without any proof or demonstration.

Theorem

Statement that has been proved on the basis of previously established statements, such as other theorems and generally accepted statements such axioms.

Corollary

Statement that follows with little or no proof required from an already proven statement.

Lemma

Mathematical result that is useful in establishing the truth values of some other results.

Trivial proof

The statement on the proof is trivial if we can prove that Q(x) is true for all x in S, then for all x in S, p(x) => q(X) is true regardless of the truth value of p(x).

Vacuous proof

The statement on the proof is vacuous if we can prove that P(x) is true for all x in S, then... Continue reading "Mathematical Proofs and Definitions" »

Selecting Samples

A simple random sample of size n from a finite population of size N is a sample selected such that each possible sample of size n has the same probability of being selected.

A random sample of size n from an infinite population is a sample selected such that the following conditions are satisfied.

Point Estimation

By making the preceding computations, we perform the statistical procedure called point estimation. We refer to the sample mean x as the point estimator of the population mean m, the sample standard deviation s as the point estimator of the population standard deviation s, and the sample proportion p as the point estimator of the population proportion p. The numerical value obtained for x, s, or p is called the point... Continue reading "Understanding Sampling, Estimation, and Hypothesis Testing in Statistics" »